Apparatus and method for controlling propagation and/or transmission of electromagnetic radiation in flexible waveguide(s)

ABSTRACT

According to an exemplary embodiment of the present disclosure, apparatus and process for providing at least one radiation can be provided. For example, with at least one multi-mode waveguide, it is possible to transmit the radiation(s). In addition, with a shape sensing arrangement, it is possible To dynamically measure a shape of the multi-mode waveguide(s). Further, with a specifically programmed computer arrangement, it is possible to control a light modulator arrangement based on the dynamically-measured shape to cause the radiation(s) transmitted through the multi-mode waveguide(s) to have at least one pattern.

CROSS REFERENCE TO RELATED APPLICATION(S)

This application relates to and claims the benefit and priority from International Application No. PCT/US2015/024264 filed on Apr. 3, 2015, which claims the benefit of priority from U.S. Provisional Patent Application Ser. No. 61/975,180, filed on Apr. 4, 2014, the entire disclosures of which is are incorporated herein by reference in their entireties.

FIELD OF THE DISCLOSURE

The present disclosure relates generally to systems and methods for determining the position of at least one optical waveguide and controlling and/or manipulating electro-magnetic radiation(s) there through,

BACKGROUND INFORMATION

Conventional imaging devices can generally use CCD cameras or fiber bundles to transmit images from inside the body to outside the body in the field of endoscopy. Alternatively, light beams can be scanned within the body using scanners within the devices or mechanisms such as drive shafts that convey motion from outside the body at the proximal end of the probe to the distal end that resides within the body. These techniques for conveying image information can be cumbersome, relatively large, and expensive. It can be preferable, instead, to provide a mechanically passive device that is capable of transmitting images or scanning beams inside the body.

One exemplary conventional technique for addressing this challenge can involve a measurement of transfer functions of multi-mode optical fibers or waveguides and then shaping, via changes in amplitude and phases the electromagnetic radiation prior to irradiation of a multi-mode optical fiber, so that the desired pattern is obtained at the fiber output (See, e.g., Refs 1-9). These techniques generally require that the shape, bend, twist, and stretch of the optical fiber be known a priori. However, if the fiber is bent or twisted as per usual for endoscopic procedures that occur in the body, then the transfer function is no longer known. As a result, when such techniques are utilized, the input to the fiber may not be determined, and the desired pattern may not be obtained at the output of the fiber. Alternatively for imaging applications, the destruction of the original transfer function causes the image returned from the sample to be irreparably scrambled.

This problem can be overcome by using one or more devices that allows one to gain knowledge of the fiber's bending, stretch, and twisting geometry. Methods in the art including the use of fiber Bragg gratings and Raman scattering. have been used to estimate the degree of bending and twisting of an optical fiber (See, e.g., Refs. 10 and 11).

Once the shape and twisting profile of the fiber is determined, it is possible to calculate the transfer function of the fiber.

Accordingly, there may be a need to address at least some of the above-described deficiencies or issues of these and other conventional systems and methods.

OBJECTS AND SUMMARY OF EXEMPLARY EMBODIMENTS

To that end, to address at least such deficiencies, various exemplary embodiments of the present disclosure can be provided that can include and/or utilize one or more techniques for calculating or otherwise determining the transfer function of a multi-mode fiber based on its refractive index profile, twist, and bend.

One of the objects of the present disclosure is provide and exemplary embodiment of as system which can be configured to focus light or other electro-magnetic radiation onto tissue of a subject using a multi-mode optical fiber system. According to another exemplary embodiment of the present disclosure, the system can include a light modulator and a waveguide apparatus. The waveguide apparatus can include one or more first waveguide regions for transmitting the light or other electromagnetic radiation to the subject and one or more second waveguide regions that can contain distributed sensors that can measure the shape of the fiber continually. In yet another embodiment of the present disclosure, it is possible to provide a processing arrangement that can receive information from a sensing arrangement, and determine a transfer function of the light or other electro-magnetic radiation to be produced to obtain a desired output pattern. In still another embodiment of the present disclosure, the processing arrangement can control the light modulator to obtain the desired output.

According to a further exemplary embodiment of the present disclosure, an apparatus can be provided for directing light or other electro-magnetic radiation to any desired positions or in any desired directions at the output of a multi-mode fiber optic cable (FOC) system. It is possible to select the exemplary profile of light or other electro-magnetic radiation at the output. The exemplary profile can be a focused beam, a divergent beam, commutated beam, and/or a light/radiation of any selected pattern. This exemplary pattern can be pseudo-random, as in the case of compressed sensing. In one further exemplary embodiment of the present disclosure, the exemplary light output can be or include a focused beam on the sample and/or tissue that can be scanned across the sample by changing the input light waveform via the light modulator as a function of data received from the distributed sensors. In a further exemplary embodiment of the present disclosure, the exemplary light modulator can generate a convergent beam at its output that can be directed off a reflector. In yet another exemplary embodiment of the present disclosure, such exemplary reflector can have a conical shape so that the focused beam is scanned in an ellipsoidal or circumferential pattern.

In still another exemplary embodiment of the present disclosure, the waveguide and distributed sensors can be disposed, either fully or partially, in a probe that can be inserted, into an anatomical lumen, with the circumference of the lumen being scanned. accordingly. According to a further exemplary embodiment of the present disclosure, light or other electro-magnetic radiation returned from the anatomical structure can be directed to an optical coherence tomography (OCT) system, For example, the wavefront at the output of the waveguide can be or include a collimated beam that can change in angle by modulating the input wavefront as a function of the distributed sensors. It is also possible to provide a lens that has a high NA to effectuate raster scanned beam for confocal microscopy.

In another exemplary embodiment of the present disclosure, the waveguide apparatus can include a multi-core fiber optic cable system. One or more Fiber Bragg Grating (FBG) fibers can be placed around one or more multi-mode fiber optic waveguides. These FBG fibers can be used to find the shape or refractive index profile of the FOC. Such exemplary information can be used to obtain a stable desired output light profile even with the fiber shape is changing dynamically.

According to yet another exemplary embodiment of the present disclosure, a method can be provided for calculating or otherwise determining the transfer function of the multi-mode fiber. This exemplary calculation/determination can utilize estimates of the shape or refractive index profile of the FOCs. It is possible to calculate and/or determine the change in the electrical and magnetic (E&M) field, e.g., in every infinitesimal element along the FOCs and add these exemplary changes so as to obtain the input-output relation of the E&M field.

In still another exemplary embodiment of the present disclosure, control system and method can be provided that can compensate for a dynamically-changing fiber shape. With such exemplary system and method, it is possible to perform calculations using information about the multi-mode FOC transfer function and adjust light input into this FOC to generate a stable, desired output. It is possible to utilize a modified version of Eqn. 2 herein to perform calculations.

According to another exemplary embodiment of the present disclosure, a spatial light modulator (SLM) or Digital Micromirror Device (DMD) can be used to control the properties of light input into the FOCs. The exemplary configuration of these devices can be set dynamically. Such exemplary configuration can be provided using exemplary calculations depending on estimated of the transfer function of the multi-mode fiber.

In yet another exemplary embodiment of the present disclosure, system and method can be provided that can be used to focus light into or through scattering media. Such exemplary system and/or method can be used to compensate for changing fiber shape, without the need for a complete reevaluation of the optical properties in the entire system. For example, the specimen under observation and optical fiber can be evaluated separately. Scattering media can include tissue and other objects of biological origin,

According to a further exemplary embodiment of the present disclosure, the output end of the FOC can include optical elements that can direct light or other electro-magnetic radiation from the FOC on to the specimen of interest. The direction of light or other electro-magnetic radiation can be changed without moving optical components. This exemplary system may exclude moving or rotating components at the output end. With such exemplary configuration, it is possible to have the output end smaller and easier to manipulate and the system faster.

In another exemplary embodiment of the present disclosure, light or other electro-magnetic radiation) incident on a specimen can interact with such specimen, and at least some of the light (or other electromagnetic radiation) can return towards the output end of the FOC. This light (or other electro-magnetic radiation) can be collected by the same or different multi-mode FOC, and can be made incident upon one or more detectors, Data can be recorded at the detector. In addition and/or alternatively, a detector can be placed in the vicinity of the sample and the data can be recorded. Such data can be used as an input to a control system updating the configuration of the light modulator.

According to yet another exemplary embodiment of the present disclosure, the recorded data can be processed to obtain images of the observed specimen. The data could also be processed to obtain information about the specimen such as the function, structure, or disease state of the specimen.

According to a further exemplary embodiment of the present disclosure, it is possible to provide a fiber optic cable based system that can produce a desired light output (or output of another electromagnetic radiation) by manipulating amplitude and/or phase of thereof at the input to the fiber optic cable. The desired output can include the facility to focus light in any direction and to any desired position at the output. The shape of the fiber can change dynamically and the exemplary system can produce the desired output field even with a dynamically changing fiber shape. Moreover, the exemplary system does not need to include moving parts, such as, e.g., a rotary junction at the output end of the fiber optic cable. Alternatively or in addition, an image can be reconstructed from light transmitted through the fiber, regardless of its shape, by computing or otherwise determining the transfer function of the fiber in real time, and using this transfer function to determine how the image is scrambled or how the illumination pattern has changed.

Further, according to an exemplary embodiment of the e present disclosure, apparatus and process for forwarding or otherwise providing at least one radiation can be provided. For example, with at least one multi-mode waveguide, it is possible to transmit the radiation(s). In addition, with a shape sensing arrangement, it is possible to dynamically measure a shape of the multi-mode waveguide(s). Further, with a specifically programmed computer arrangement, it is possible to control a light modulator arrangement based on the dynamically-measured shape to cause the radiation(s) transmitted through the multi-mode waveguide(s) to have at least one pattern.

For example, the radiation(s) can be or include an electro-magnetic radiation. The multi-mode waveguide(s) can be or include is a multimode fiber. The light modulator arrangement can include a spatial light modulator. The spatial light modulator can be or include (i) a digital light processor, (ii) a digital micro mirror device, (iii) an electrically addressed spatial light modulator, and/or (iv) an optically-addressed spatial light modulator. The computer arrangement can be programmed to compute a transfer function of the multi-mode waveguide(s) based on the dynamically-measured shape. The shape sensing arrangement can be or include a hardier waveguide which is physically coupled to the multi-mode waveguide(s). The further waveguide. can contain characteristics and/or have a configuration to facilitate a determination of the dynamically-measured shape. The shape sensing arrangement can also include a plurality of further waveguides which are physically coupled to the multi-mode waveguide(s), and the further waveguides can contain characteristics or structural configurations to facilitate a determination of the dynamically-measured shape. The further waveguides can contain (i) fiber Bragg gratings, discrete distributed reflectors, (iii) Rayleigh scattering arrangements, and/or (iv) Raman scattering arrangements.

In a still further exemplary embodiment of the present disclosure, the pattern can include (i) a focused spot, (ii) a plurality of spots, (iii) a random pattern, and/or (iv) an image. The computer arrangement can be configured and/or programmed to control the light modulator arrangement to scan at least one sample with the pattern(s) of the radiation(s). The computer arrangement can be further configured and/or programmed to generate at least one optical coherence tomography image, a confocal image, a multi-photon image, a multi-harmonic image, and/or a spectroscopic images based on a further radiation detected from the sample(s), in response to the scan of the sample(s) with the pattern(s) that is predetermined,

According to another exemplary embodiment of the present disclosure, a detector arrangement can be provided. In such exemplary configuration, the pattern(s) can include a plurality of predetermined patterns to impact the sample(s), a return radiation that is based on the predetermined patterns can be detected by the detector arrangement, and the computer arrangement can be further configured and/or programmed to reconstruct an image of the sample based on the detected return radiation, An aperture can be provided between the light modulator arrangement and the detector arrangement. Further, a flexible probe housing can be provided which at least partially encloses the multi-mode waveguide(s) and the shape sensing arrangement. A conical mirror can be provided in the flexible probe housing, and positioned and structured to reflect the radiation(s) received from the multi-mode waveguide(s). The pattern(s) can be a predetermined pattern that can be determined iteratively based on prior measurements. The pattern can additionally (or alternatively) be determined by providing the radiation(s) through a scattering medium.

These and other objects, features and advantages of the present disclosure will become apparent upon reading the following detailed description of exemplary embodiments of the present disclosure, when taken in conjunction with the appended drawings and appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

Further objects, features and advantages of the present disclosure will become apparent from the Mowing detailed description taken in conjunction with the accompanying drawings showing illustrative embodiments of the present disclosure, in which:

FIG. 1 is a block diagram of an exemplary embodiment of system according to the present disclosure;

FIGS. 2(a)-2(f) are diagrams of various systems according to exemplary embodiments of the present disclosure, which are configured to compensate for dynamically changing waveguide shape(s) so as to produce a stable, configurable light output;

FIGS. 3(a) and 3(b) are exemplary illustrations of systems according to certain exemplary embodiments of the present disclosure of a respective output end of the FOCS that include optical components that can direct light or other electromagnetic radiation to a sample, and being directed dynamically, e.g., without moving parts at the respective output: ends;

FIGS. 4(a) and 4(b) are exemplary illustrations of systems according further exemplary embodiment of the present disclosure, each providing the cross-section of the FOCS including a multi-mode fiber for carrying light or other electromagnetic radiation between the source, sample and detectors and/or other fibers for shape sensing;

FIG. 5 is a flow diagram of a method according to an exemplary embodiment of the present disclosure that can be used for collecting data, as well as the control system for compensating for fiber shape changes;

FIG. 6 is an illustration of a part of the waveguide system including a multi-mode FOC along with shape sensing FBG fibers according to an exemplary embodiment of the present disclosure;

FIGS. 7(a)-7(e) are block diagrams of the systems according to several exemplary embodiments of the present disclosure illustrating common-path and non-common-path systems, each containing a reference and a sample;

FIG. 8 is an illustration of the system according to yet another exemplary embodiment of the present disclosure provided at or in the output end of the FOCS which includes bath the sample and reference arms, e.g., providing a common path configuration;

FIGS. 9(a) and 9(b) are illustration of the systems according to still other exemplary embodiments of the present disclosure provided at or in the output end of the FOCS that are configured to tightly focus light or other electromagnetic radiation unto the sample that can have a large angular distribution;

FIGS. 10(a) and 10(b) are block diagrams of the systems according to still further exemplary embodiments of the present disclosure which include optical elements between the optical fiber and the sample chosen to tightly focus the light or other electromagnetic radiation onto the sample, with one of the embodiments also containing an aperture before the detector;

FIG. 11 is an illustration of the system according to a further exemplary embodiment of the present disclosure provided at or in the output end of the FOCS in which light or other electromagnetic radiation can be directed in the axial direction more easily relative to other embodiments, which can be focused and this focus can be changed dynamically; and

FIG. 12 is an illustration of the system according to another exemplary embodiment of the present disclosure provided at or in the output end of the FOCS with minimal optical elements in which light or other electromagnetic radiation can be directed in any arbitrary direction, and the properties thereof can be chosen as desired.

Throughout the drawings, the same reference numerals and characters, if any and unless otherwise stated, are used to denote like features, elements, components, or portions of the illustrated embodiments. Moreover, while the subject disclosure will now be described in detail with reference to the drawings, it is done so in connection with the illustrative embodiments. It is intended that changes and modifications can be made to the described exemplary embodiments without departing from the true scope and spirit of the subject disclosure and appended claims.

DETAILED DESCRIPTION OF EXEMPLARY EMBODIMENTS

For example, an estimation of the transfer function of a multi-mode optical fiber can facilitate a compensation for changes to its shape dynamically. According to an exemplary embodiment of the present disclosure, light or other electro-magnetic radiation input into the fiber can be shaped such that the output is stable, and has the desired properties. In one exemplary embodiment, a focused beam of light or other electro-magnetic radiation can be provided at the output, and can scan this focus so as to obtain images of both the surface and interior of a sample. This exemplary scanning would be done without bulky moving parts at the distal or proximal ends of the fiber. Such exemplary system and/or method can be used for various exemplary endoscopic applications that utilize scanning, such as, e.g., optical coherence tomography (OCT), spectral-domain OCT (SD-OCT), optical frequency domain imaging (OFDI), confocal microscopy (CM), confocal laser endomicroscopy (CLE), spectrally-encoded confocal microscopy (SECM), scanning white-light endoscopy (SWLE), scanning narrow band imaging (SNBI), laser marking (LM), laser ablation (LA) and the like. Exemplary advantages of such exemplary system and/or method can include the ability to further miniaturize endoscopic probes as the devices would not require a mechanism for mechanically scanning the optical beam. Further, the exemplary beam scanning, can be performed faster than provided by other endoscopic or probe-based systems that require moving elements. Such exemplary system and/or method can facilitate imaging of tissue and regions that were previously inaccessible, and assist in performing disease diagnosis faster and in an improved manner.

Another exemplary use of such exemplary apparatus, system and/or method can be to transmit images using a multi-mode optical fiber and/or waveguide. For example, if the transfer function can be computed or otherwise determined using knowledge of the fibers shape (e.g., twist, bend, refractive index profile), then the scrambled image of the sample can be unscrambled using image reconstruction techniques. This exemplary capability can facilitate the smallest of endoscopes that can be inserted into locations which are currently inaccessible by conventional endoscopic arrangements. Another exemplary advantage of such a device is that it could enable imaging via compressive sensing where the pattern that illuminates the sample could be computed using the fiber's transfer function in real time, and detected by a single detector, thus facilitating a reconstruction of the image following exposure by multiple different patterns.

Light can be understood as an electromagnetic wave. The electric and magnetic (E&M) fields can include an electromagnetic wave that can be described in several ways. For example, the scalar wave theory uses one scalar quantity to describe the E&M field. A vector quantity labeled by one or more components could also be used for a more general description of the fields. Each E&M field component, whether a scalar or a vector, can be a complex number which has a magnitude and phase. The magnitude and the phase are of importance, and can dictate the properties of light.

Changing the magnitude and the phase of light or other electro-magnetic radiation facilitates, e.g., manipulation and/or control of its directional properties, e.g., including being able to focus it and/or change its direction. For example, imparting a quadratic phase to a plane wave from a laser source results in a focused beam of light. Moreover, in an exemplary optical system, if it is known how the electric and magnetic (E&M) field in one part (P1) is related to another part (P2), it is possible to manipulate or otherwise control the E&M field in P1 to effect a change in field at P2 or vice versa. This exemplary relation between the E&M fields in P1 and P2 is called the transfer function between P1 and P2.

To obtain the desired E&M field at the output of an exemplary optical system or sub-system, it is preferable to obtain the transfer function and set the E&M field at the input based on the transfer function. There are a number of exemplary components to this exemplary process. For example, the first exemplary component relates to obtaining the transfer function. The second exemplary component relates to a process of using the transfer function in order to obtain a desired output E&M field.

The input field, output field, and the transfer function of an optical system or sub can be related, as follows. For example, the input field (FIN) and output: field (FOUT) can be mathematically described as elements of a vector space, and/or colloquially as vectors. The exemplary transfer function (TF) of an exemplary optical element of the system can be described by a mathematical operator capable of acting on a vector space. This exemplary operator can be a matrix. It is possible to relate FIN, FOUT and TF using the following exemplary equation: FOUT=TF FIN,  (Eqn.1) where the operator IF can act on FIN to result in fOUT according to the conventional roles of algebra. It is possible to use Eqn.1 to obtain fOUT given TF and FIN. This exemplary equation can be rewritten as follows: FIN=TF⁺FOUT.  (Eqn.2) For example, TF⁺ is the regularized pseudo-inverse of TF. TF⁺ is the inverse operator of TF when the inverse exists, and is regularized in cases where the inverse operator does not exist, Eqn.2 allows us to obtain FIN when FOUT and TF are given. Given a desired field at the output of an optical sub-system, it is possible to compute or otherwise determine the input: field that can result in such exemplary particular output using the exemplary transfer function of the sub-system and Eqn.2.

The general mathematical framework described herein can be adapted to each optical system under various considerations. Estimates of TF, FIN and FOUT can depend on the system. According to certain exemplary embodiments presented in the present disclosure, exemplary combinations of these quantities and methods to estimate one or more of these quantities can be used.

FIG. 1 shows a block diagram of an exemplary embodiment of the system/apparatus according to an exemplary embodiment of the present disclosure. For example, light or other electromagnetic radiation from a source (100) can be incident on block 111, which can include an optical device (OD1) including a wavefront modulator (110) and beam splitter (102). Light or other electromagnetic radiation from OD1 can be coupled into a waveguide system (115) that can include a transmission fiber (140) that carries light to and from OD1 and shape detecting fibers (130). Light or other electromagnetic radiation from the transmission fiber (140) is incident on the sample (150), and light returning or other electromagnetic radiation from the sample can be carried via the transmission fiber 140 to the block 111, and directed on to a detector or a set of detectors (103). Data can be recorded at the detectors 103. As the shape of the block 150 changes, the shape detecting fibers 130 senses these changes and this information is fed into a processing arrangement (105). The processing arrangement 105 computes the configuration of 110 that compensates for changes to the shape of the block 115 and sets the configuration of the wavefront modulator 110 so as to produce a stable, desired field at the sample 150.

According to one exemplary embodiment, it is possible to provide an FOCS of arbitrary shape with FBG fibers that can be are placed around a multi-mode fiber core. Each FBG fiber can have several sets of gratings positioned along the length of the fiber. For example, it is possible to label each set F_(i), i=1,2, . . . N. Light or other electromagnetic radiation of a known wavelength profile can b transmitted into each fiber, and the reflected or transmitted light or other electromagnetic radiation can be measured from each fiber. The light or other electromagnetic radiation reflected back from the fiber can be reviewed. For example, according to one exemplary embodiment, only a certain wavelength of light would be reflected from F_(i) depending on the local effective refractive index at the fiber and the period of the grating constituting F_(i). According to another exemplary embodiment of the present disclosure, it is possible to provide different F_(i) to have different periods and consequently obtain different wavelengths reflected. There is a correspondence between wavelength measured and the position. When the fiber changes in shape, the refractive index and/or period can change, and there can be a shift in the wavelength of reflected light, and such shift can be measured, it is possible to identify wavelength shifts that occur at each F_(i) and can infer the change in refractive index at each position along a FBG fiber. It is also possible to estimate the refractive index at any point between F_(i) and F_(i-1) via interpolation.

In another exemplary embodiment of the present disclosure, light or ether electromagnetic radiation transmitted into the FBG fibers can be derived from the same source as light traveling through the transmission fiber (140). In yet another exemplary embodiment, light or other electromagnetic radiation transmitted through the FBG fibers and the transmission fiber are derived from different sources.

According to still another exemplary embodiment of the present disclosure, it is possible to provide multiple FBG fibers around the multi-mode fiber core. For example, the refractive index profile can be provided at every point of every FGB fiber in the multi-core system. Further, a change in a refractive index divided by value of refractive index (called fractional refractive index change or FRIC) at the corresponding points can be calculated or otherwise determined. Using this information, it is possible to interpolate the exemplary results to obtain a profile of FRIC at any point in the multi-core fiber optic cable system via an exemplary interpolation. Such exemplary interpolation can be linear and/or polynomial, or provided via or using any other known interpolation technique. The FRIC multiplied by the value of refractive index when there is no bending or shape change can provide, e.g., the refractive index at every point along a section transverse to the axis. By performing this exemplary calculation for every point along the axis of the fiber, it is possible to obtain the complete refractive index profile of every point along the exemplary nit mode fiber optic cable system (FOCS).

In a further exemplary embodiment of the present disclosure, it is possible to provide multiple FBG fibers around the multi-mode fiber core, For example, each FBG fiber can have several sets of gratings positioned along the length of the fiber. Let each set be labeled F_(i), i=1,2, . . . N. Light or other electromagnetic radiation of a known wavelength profile can be transmitted into each fiber, and the reflected or transmitted light or other electromagnetic radiation can be measured from each fiber. In one exemplary variation, only a certain wavelength of light or other electromagnetic radiation reflected from the fiber can be reflected from F_(i) depending on the local effective refractive index at the fiber and the period of the grating constituting F_(i). It is possible to provide another F_(i) to have different periods and consequently obtain different wavelengths reflected. There is a correspondence between wavelength measured and the position. When the fiber changes in shape, the refractive index and/or period can change, and there can be a shift in the wavelength of reflected light. This shift can be measured. It is further possible to identify wavelength shifts that occur at each F_(i) and can infer the change in refractive index at each position along a FBG fiber. It is additionally possible to estimate the refractive index at any point between F and F_(i-1) via interpolation. A certain change in refractive index corresponds to a certain change in length of the gratings. Considering, a transverse plane along the axis of the fiber, each FBG fiber in this plane can have a particular change in length associated therewith. The exemplary change in length can be proportional to the FGB fibers distance from the center of curvature in that transverse plane. Using this exemplary proportionality relation, equations can be used relating the position of the center of curvature in the transverse plane and the change in length of each FOB fiber, Solving these equations can facilitate a determination of the center of curvature in this transverse plane. This exemplary information can be stated mathematically in terms of two variables. These variables can be converted into an expression consisting of the radius of curvature and tilt (e.g., a local bend direction) at every point along the axis of the FOC at each point in time, which can provide a description of the fiber's shape.

According to an additional exemplary embodiment of the present disclosure, the refractive index profile of an FOC, when it is straight, can be known a priori. This exemplary profile is defined as a function of the radial position from the middle of the FOC and the azimuthal angle. For example, the FOC can take any arbitrary shape. With the consideration of an infinitesimal element along the axis of the FOC, such exemplary element can be approximated to correspond to a certain radius of curvature and tilt at a particular point along the FOC. Due to the curvature of the FOC, there can be a small change in the refractive index profile in a plane transverse to the axis of the FOC. For example, there can be an increase in the refractive index closer to the position of the center of curvature of the element relative to the refractive index slightly farther away. This change in refractive index is quantified mathematically depending on the radius of curvature, tilt and refractive index profile without the curvature, it is possible to use Maxwell's equations and the refractive index to relate the E&M field at the two transverse faces of this element. It is possible then to sum the contributions to the change in the E&M field at each element so as to determine the relation between the fields between any two points in the FOC including the input-output field relation for the FOC.

In still an additional exemplary embodiment of the present disclosure, it is possible to obtain the complete refractive index profile of every point along the multi-mode FOCS. For example, the FOC can have any arbitrary shape at any point in time. Considering an infinitesimal element along the axis of the FOC, it is possible to use Maxwell's equations and information about the refractive index profile to relate the E&M field at the two transverse faces of this element. Further, it is possible to sum the contributions to the change in the E&M field at each element so as to determine the relation between the fields between any two points in the FOC including, the input-output field relation for the FOC.

For example, the E&M field can be a scalar quantity labeled by one or more components or at least one vector quantity labeled by one of more components. Each E&M field component can be described by a complex number, which can have a magnitude and phase at any point along the FOC. It is preferable to obtain at least an estimate the magnitude and the phase.

The exemplary E&M field calculation can be facilitated by one or more approximations. For example, one such exemplary approximation can be based on the assumption that the curvature of the FOC is large relative to its core diameter. It is possible to use the Eikonal equation to relate the change in the phase of a wave to the refractive index profile at any point. Each infinitesimal element along the FOC can correspond to a particular radius of curvature and tilt and this in turn corresponds to a certain refractive index profile. Therefore, there can be a certain change in phase associated with each infinitesimal element. The net change in phase of the wave between any two points along the FOC can be computed using an estimate of the FOC shape and by adding changes in phase in all infinitesimal elements along the FOC between the two points. The amplitude at any particular point can be calculated from the phase and the field input into the FOC, and/or the field at another known point along the FOC. It is possible to then mathematically combine the magnitude and phase to obtain the E&M field. The above method and/or procedure can facilitate, among other things, a determination of the relation between the input E&M field and the output E&M field of a multi-mode FOC of arbitrary shape.

Exemplary changes in E&M fields from one end of the FOC to the other can be estimated as described above. This can facilitate a determination of the transfer function, e.g., the input output relation for the FOC. For example, this transfer function can be a function of the FOC shape or the refractive index profile. A change in the shape of the FOC can result in a change in its transfer function and this change can be tracked dynamically using the exemplary method and/or procedure described herein.

FIG. 2(a) shows an illustration of an exemplary embodiment of the system/apparatus according to an exemplary embodiment of the present disclosure. Light or other electromagnetic radiation from the laser source 210 can be incident of an optical device (OD1) which is configured to manipulate the amplitude and/or phase of light or other electromagnetic radiation. This exemplary manipulation can be controlled dynamically. OD1 (220) can include a Spatial tight Modulator (SLM) and/or a Digital Micromirror Device (DMD), 230 is a lens.

As shown in FIG. 2(a), a beam splitter (240), a detector or set of detectors (250), a waveguide system/apparatus (260) can be provided, that can include one or more fiber optic cables. The waveguide system 260 can be of any shape, and such exemplary shape can change dynamically, Light (or other radiation) output from OD1 210 can be coupled in to the input of the waveguide system 260. An exemplary cross section of the waveguide system 268 is shown in FIGS. 4(a) and 4(b). Another OD2 (264) can be provided, and an output fight (270), a connection (280) from the OD2 (260) to a calculation and control system (290). A computer can be a part of the calculation and control system 290. The calculation and control system 290 can have a connection 291 to 220 and is used to control the configuration of the OD1 220. It is possible to change the configuration of OD1 220 such that the E&M fields input into the FOC matches the values from our aforementioned calculations based on the FOC shape. When the FOC's shape changes its transfer function can also change. It is possible to recalculate the field at the FOC input that results in the desired output at end of the instrumentation system based on our updated knowledge of the FOC shape. It is also possible to modify the OD1 220 configuration so as to obtain the recalculated field at the FOC input. This exemplary operation of controlling the OD1 configuration could be done dynamically. This exemplary system can sense the FOC shape and perform the exemplary calculations using the shape estimates so as to maintain, a certain light profile at the output even with a dynamically changing FOC shape. Such exemplary system can maintain a relatively stable light output when the FOG shape is changing, and/or facilitate a projection of any desired pattern of light at the output of the FOGS by configuring OD1 220.

FIG. 2(b) shows an illustration of another exemplary embodiment of the system/apparatus according to the present disclosure. Element 2101 is a laser source, element 2201 is OD1, element 2301 is a lens, element 2401 is a beam splitter, element 2501 is a detector or set of detectors, and element 2601 is a set of one or more fiber optic cables. The exemplary waveguide system can be of any shape, which can change dynamically. Element 2641 is OD2, element 2701 is output light, and elements 2801 and 2821 are connections from one or more fiber optic cables 2601 to a calculation and control system 2901. The connections between 2601 and 2901 can be from either end of one or more fiber optic cables 2601 or both ends. An exemplary instrument uses to measure and process signals from 2601 is a part of the calculation and control system 2901. A computer can also be a part of the calculation and control system 2901. A connection from 2911 can be provided from the calculation and control system 2901 to OD1 2201, and can be used to control the configuration of OD1 2201.

FIG. 2(c) shows an illustration of yet another exemplary embodiment of the system/apparatus according to the present disclosure. Element 2102 is a laser source, element 2202 is OD1, element 2212 is a mirror that direct light on to OD1, element 2222 is a mirror that directs light from OD1 towards a set of one or more fiber optic cables 2602, element 2402 is a beam splitter, element 2402 is a beam splitter, element 2502 is a detector or set of detectors, and element 2602 is a set of one or more fiber optic cables. The waveguide system can be of any shape which can change dynamically. Element 2641 is OD2, element 2702 is output light, and elements 2802 and 2822 are connections from one or more fiber optic cables 2602 to a calculation and control system 2902. The connections between one or more fiber optic cables 2602 and the calculation and control system 2902 can be front either end of one or more fiber optic cables 2602 or both ends. An instrument uses to measure and process signals from one or more fiber optic cables 2602 can be a part of the calculation and control system 2902. A computer can also be a part of the calculation and control system 2902. Element 2912 is the connection from the calculation and control system 2902 to OD1 2202, and can be used to control the configuration of OD1 2202.

FIG. 2(d) shows an illustration of still another exemplary embodiment of the system/apparatus according to the present disclosure. Element 211 is a laser source, element 221 is OD1, element 231 is a lens, element 241 is a beam splitter, element 251 is a detector or set of detectors, element 261 is a set of one or more fiber optic cables. The waveguide system can be of any shape, which can change dynamically. Element 261 is OD2, element 271 is output light, and elements 2804 and 2824 are connections from the 2604 to 2904. The connections between elements 2604 and 2904 can be from either end of element 2604 or both ends. Element 2904 is a calculation and control system. An instrument uses to measure and process signals from element 2604 can be a part of element 2904. A computer can also be a part of element 2904. Element 2914 is the connection from elements 2904 to 2204, and can be used to control the configuration of element 2204.

FIG. 2(e) shows an illustration of a further exemplary embodiment of the system/apparatus according to the present disclosure. Element 212 is a laser source, element 222 is OD1, element 242 is a beam splitter, element. Element(s)/component(s) 252 can be or includes a detector or set of detectors, and element(s)/component(s) 262 is/are a set of one or more fiber optic cables. The waveguide system can be of any shape, which can change dynamically. Element 262 is OD2, element 272 is output light, and elements 2803 and 2823 are connections from element 2603 to element 2903. The connections between element 2603 and element 2903 can be from either end of element 2603 or both ends. Element 2903 is a calculation and control system. An instrument uses to measure and process signals from 2603 is a part of element 2903. A computer can also be a part of element 2903. Element 2913 is the connection from element 2903 to element 2203, and can be used to control the configuration of element 2203.

FIG. 2(f) shows an illustration of an additional exemplary embodiment of the system/apparatus according to the present disclosure. Element 2126 is a laser source, element 2226 is OD1, element 246 is a beam splitter, element 256 is a detector or set of detectors, and element 2806 is a set of one or more fiber optic cables. The waveguide system can be of any shape, and can change dynamically. Element 2666 is OD2, element 2726 is output light elements 2806 and 2826 are connections from element 2606 to element 2906. The connections between element 2606 and element 2906 can be from either end of element 2606 or both ends. Element 2906 is a calculation and control system. An instrument uses to measure and process signals from element 2606 can be a part of element 2906. A computer can also be a part of element 2906. Element 2916 is the connection from element 2906 to element 2206 and, can be used to control the configuration of 2206.

In another exemplary embodiment of the present disclosure, light or other radiation at the output of the FOC can be incident on an optical device (OD2), and then propagates out of the exemplary system. Such exemplary device can include a set of mirrors or lenses among other components. FIG. 3(a) shows an illustration of an exemplary embodiment of the output end of the fiber optic probe, including one or more fiber optic cables (310). The waveguide system can be of any shape, which can change dynamically. Element 311 is a core of the multi-mode optical fiber, element 312 is a set of fibers used for shape sensing, element 313 is the cladding, element 314 is the jacket, element 320 is the light output from the multi-mode fiber, element 340 is the enclosure for the output end, and element 330 is a mirror. The mirror 330 can be conical. Output light (360) can be focused onto or in a specimen (370). Light returning from the specimen 370 can be coupled back into the system.

FIG. 3(b) shows an illustration of another exemplary embodiment of the output end of the fiber optic probe, which can include one or more fiber optic cables (315). The waveguide system can be of any shape, which can change dynamically. Element 316 is the core of the multi-mode optical fiber, element 317 is a set of fibers used for shape sensing, element 318 is the cladding, element 319 is the jacket, element 325 is the light output from the multi-mode fiber, element 345 is the enclosure for the output end, and element 335 is a mirror. The mirror 335 can be spherical, hemispherical or have a certain known curvature or shape. Output light (365) can be focused to or in a specimen (375). Light returning from the specimen can be coupled back into the system. OD2 can include known elements, and can have a predetermined transfer function, and can be used to assist in changing the properties of output light. These exemplary properties can include focusing light to any point in three dimensional space, or directing light in different directions simultaneously. It is possible to select the desired light properties, with these exemplary properties are mathematically describing by defining the E&M field at the output of the exemplary system.

According to one exemplary embodiment of the present disclosure, the exemplary waveguide system/apparatus can include a multi-mode fiber as a part of the multi-core FOCS. FIG. 4(a) shows a cross-section of such exemplary FOCS. The multi-mode fiber is typically, although not necessarily, placed in the middle surrounded by other optical fibers. Element 410 is the core of the multi-mode fiber, element 420 is the cladding of the multi-mode fiber, element 430 is the outer layer or jacket of the fiber bundle, and element 450 is the material between element 430 and element 420, which can be the same material as element 420, and element 430 could be one single unit. Element 440 can be one or more fibers used to estimate the shape or refractive index profile of the fiber. Examples of such fibers can include Fiber Braga Grating fibers. The shape estimation can be performed, for example, by using a scheme similar to the one described by publication J. P. Moore and M. D. Rogge, “Shape sensing using multi-core fiber optic cable and parametric curve solutions”, Optics Express, Vol. 20. Issue 3, Pg. 2967.-2973, 2012.

FIG. 4 (b) shows a cross-section of another exemplary embodiment of the FOCS. Element 411 is the core of the multi-mode fiber, element 421 is the cladding of the multi-mode fiber, element 431 is the outer layer or jacket of the fiber bundle, and element 451 is the material between element 431 and element 421 which can be the same material as 421, and element 430 can be one single unit. Element 441 can be one or more fibers used for shape sensing. These exemplary fibers 441 can be several in number and could be placed at different positions. Other exemplary shape sensing techniques which do not depend of optical fibers can also be used, including, for example, using strain gauges along the System or by using Raman scattering based sensors.

In another exemplary embodiment of the present disclosure, a set of FBG fibers (440) can be placed around the multimode fiber core (410). Each FBG fiber 440 can be helically wound around the core 410.

In another exemplary embodiment, it is possible to determine the transfer function of OD2 and unlike the shape of the FOC, which typically may not change. Given a desired set of output light properties, it is possible to determine the E&M field at the input of OD2 (e.g., at the exit of the FOC) that results in this output using our knowledge of the transfer function of the optical elements, This exemplary calculation can be performed using Eqn. 2 and the corresponding procedure described herein.

In yet another exemplary embodiment, it is possible use a shape sensing procedure can track changes in the shape of the fiber. It is also possible to calculate the changes in the transfer function and update the transfer function based only on the changes in the refractive index profile as opposed to computing the entire transfer function every time. FIG. 5 shows a flow chart for an exemplary embodiment of the proposed system, the details and procedures which are provided therein.

According to another exemplary embodiment of the waveguide according to the present disclosure, one or more Fiber Bragg Grating (FBG) fibers can be placed around the multi-mode FOC. These FBG fibers can be used to determine the shape of the FOC. FIG. shows a cross-sectional illustration of an exemplary embodiment of a region of the multi-core FOCS. Element 610 is a multi-core waveguide, element 620 are the FBG fibers, and element 630 is a multi-mode FOC. The shape of the FOC can be stated as a mathematical expression which is a function of time and three spatial coordinates. One exemplary description of the shape of the FOC useful to the exemplary analysis can include specifying the radius of curvature and tilt (e.g., the local bend direction) at every point along the axis of the FOC at each point in time. FBG fibers are placed around a multi-mode fiber core. Each FBG fiber can have several sets of gratings positioned along the length of the fiber. Let each set be labeled F_(i), i=1,2, . . . N. We send light of a known wavelength profile into each fiber and measure the reflected or transmitted light from each fiber. Consider light reflected back from the fiber. For example, only a certain wavelength of light can be reflected from F_(i) depending on the local effectives refractive index at the fiber and the period of the grating constituting F_(i). It is possible to provide different F_(i) to have different periods and consequently obtain different wavelengths reflected. There is likely a correspondence between wavelength measured and the position. When the fiber changes in shape, the refractive index and/or period can change, and there can be a shift in the wavelength of reflected light. This shift can be measured. It is possible to identify wavelength shifts that occur at each F_(i) and can infer the change in refractive index at each position along a FBG fiber. It is also possible to estimate the refractive index between F_(i) and F_(i-1) via interpolation.

In one exemplary embodiment, light at the output of the FOCS can have any desired properties. This could be a focused beam, a divergent beam, commutated beam, and/or a light of any pattern of our choosing. The light pattern could even be random or pseudo-random. Such exemplary pseudo-random light patterns can be used for compressed sensing. Output light can have a Gaussian beam profile, Bessel beam profile, Gauss-Bessel profile, or any other selected profile.

According to another exemplary embodiment, the profile of light itself can be changing dynamically. For example, the light can be focused and the position of the focused could be scanned in a circular manner or in a radial manner, and/or along a certain chosen path or could jump from one point to another. There can even be multiple foci.

In still another exemplary embodiment, light from the output of the FOCS is incident on a specimen under observation. This light interacts with the specimen and results in light being absorbed, emitted, redirected or unchanged. Some of the light after this interaction is coupled back into the FOCS. This light returning after the interaction with the specimen can be made incident on a detector and measured This data point can be recorded. Different data points can be obtained by changing light output from the system and/or the specimen position. These data points can be related to the optical properties f the specimen and are processed in order to obtain information about the specimen. Such information can include images of the shape, structure and function of the specimen or understand processes occurring within the specimen. In specimens of biological origin, it is possible to process this data to obtain information about the disease state of the specimen.

According to yet another exemplary embodiment of the present disclosure, it is possible to focus light through strongly scattering media. The exemplary configuration of OD1 can be modified so as to compensate for multiple scattering in strongly scattering media, such as tissue. It is possible to provide such modification with a certain configuration of OD1 and measuring the light intensity at the intended point of focus of light. It is possible to change OD1 configuration, and use an optimization algorithm, such as gradient descent, so as to obtain the global maximum for light intensity at the intended point of focus. Unlike other attempts at obtaining data or images through strongly scattering media, it is possible to use a multi-mode fiber optic cable. Moreover, it is possible to compensate for dynamically changing fiber shape and provide a stable light output even when the multi-mode fiber shape is changing.

Another exemplary embodiment of the system/apparatus according to the present disclosure is shown as a block diagram in in FIG. 7(a), Such exemplary system can perform OCT, SD-OCT, OFDI, or any technique related to OCT. This exemplary system is provided in a common path OCT configuration. Element 700 is a light source, element 702 is a beam splitter, element 710 is a wavefront modulator, element 711 is an optical device (OD1) including the beam splitter and wavefront modulator, element 730 is a set of fibers capable of shape sensing, element 760 is a splitter that directs light from 740 into the sample (730) and reference mirror (761), recombines light that returns from each and sends the light back into 740. Element 703 is a detector or a set of detectors where data is recorded, element 715 is a waveguide system consisting of elements 740 and 730. When the shape of the waveguide system 715 changes, the set of fibers capable of shape sensing 730 detects these changes and this information is fed into the processing arrangement (705), which computes the configuration of the wavefront modulator 710 that compensates for changes to the shape of the waveguide system 715 and sets the configuration of the wavefront modulator 710 so as to produce a stable, desired field at the sample 750.

A further exemplary embodiment of the system/apparatus according to the present disclosure is shown as a block diagram in FIG. 7(b). The exemplary system shown in FIG. 7(a) can also perform OCT, SD-OCT, OFDI, or any technique related to OCT. In this exemplary system, the sample and reference arm have separate fibers carrying light to the sample and reference mirror. Element 7001 is a light source, element 7021 is a beam splitter, element 7101 is a wavefront modulator, element 7111 is an optical device (OD1) including the beam splitter and wavefront modulator, element 7301 is a set of fibers capable of shape sensing , element 7411 is a transmission fiber that carries light between 7021 and the reference mirror (7611), element 7031 is a detector or a set of detectors where data is recorded, and element 7151 is a waveguide system consisting of elements 7401 and 7301. When the shape of the waveguide system 7151 changes, the detector or set of detectors 7301 detect(s) these changes and this information is fed into the processing arrangement (7051), which computes the configuration of the wavefront modulator 7101 that compensates for changes to the shape of the waveguide system 7151, and sets the configuration of the wavefront modulator 7101 so as to produce a stable, desired field at the sample 7501.

A further exemplary embodiment of the system/apparatus according to the present disclosure is shown as a block diagram in FIG. 7(c) which can perform OCT, SD-OCT, OFDI, or any technique related to OCT. In this exemplary system, the sample and reference arms can have separate fibers carrying light to the sample and reference mirror. Element 7002 is a light source, element 7022 is a beam splitter, element 7102 is a wavefront modulator, element 7112 is an optical device (OD1) including the beam splitter and wavefront modulator. element 7302 is a set of fibers capable of shape sensing, and element 7702 is a multi-mode transmission fiber that carries light between the beam splitter 7022 and the reference mirror (7612). The elements of this exemplary system are the same as element 7402. Element 7802 is a shape controller configured to control the shape of the beam splitter 7702. Element 7132 is unit comprising of element 7702 and element 7802. 7Element 032 is a detector or a set of detectors where data is recorded, and element 7152 is a waveguide system including elements 7402 and 7302. When the shape of the waveguide system 7152 changes, element 7302 detects these changes and this information is fed into the processing arrangement (7052), which computes the configuration of element 7102 that compensates for changes to the shape of element 7152 and sets the configuration of element 7102 so as to produce a stable, desired field at element 7502. Element 7052 also performs computations and adjusts the configuration of element 7802 such that element 7702 has the same twist and bend as element 7402. In doing so, the sample and reference arms can be matched.

FIG. 7(d) shows a block diagram of the system/apparatus according to another exemplary embodiment of the present disclosure, which can also perform OCT, SD-OCT, OFDI, or any technique related to OCT. In this exemplary system, the sample and reference arms have separate fibers carrying light to the sample and reference mirror. Element 7003 is a light source, element 7023 is a beam splitter, element 7103 is a wavefront modulator, element 7113 is an optical device (OD1) including the beam splitter and wavefront modulator, element 7303 is a set of fibers capable of shape sensing and element 7703 is a multi-mode transmission fiber that carries light between the beam splitter 7023 and a separate wavefront modulator (7603). Element 7033 is a detector or a set of detectors where data is recorded, and element 7153 is a waveguide system including elements 7403 and 7303. When the shape of element 7153 changes, element 7303 detects these changes and this information is fed into the processing arrangement (7053), which computes the configuration of element 7103 that compensates for changes to the shape of 7153, and sets the configuration of element 7103 so as to produce a stable, desired field at the transmission fiber 7503. The processing arrangement 7053 also performs computations based on the configurations of elements 7153 and 7703, and adjusts the configuration of 7603 such that light reaching the detector from the reference arm and the sample arm are compensated for the shapes, of multi-mode fibers. The changes and/or control of the configuration of 7603 can be that light from the reference and sample arms reaching the detector can be nearly identical if the sample were replaced by a mirror.

FIG. 7(e) shows a block diagram of the system/apparatus according to a further another exemplary embodiment of the present disclosure, which can perform OCT, SD-OCT, OEM, or any technique related to OCT, in this system, the sample and reference arm have separate fibers carrying light to the sample and reference mirror. Element 7004 is a light source, element 7024 is a beam splitter, element 7804 is a single mode fiber, element 7104 is a wavefront modulator, element 7114 is an optical device (OD1) including the beam splitter, the single mode fiber 7804 and a wavefront modulator, element 7304 is a set of fibers capable of shape sensing, and element 7704 is a single-mode transmission fiber that carries light between the beam splitter 7024 and a reference mirror (7604). The position of the reference mirror 7604 can be adjusted so as to change the path length in the reference arm. Element 7034 is a detector or a set of detectors where data is recorded, and element 7154 is a waveguide system including elements 7404 and 7304. When the shape of 7154 changes, 7304 detects these changes and this information is fed into the processing arrangement (7054), 7054 computes the configuration of 7104 that compensates for changes to the shape of element 7154 and sets the configuration of element 7104 so as to produce a stable, desired field at element 7504. The processing arrangement 7054 also performs computations based on the configurations of elements 7154 and 7704, and adjusts the position of 7604 such that light reaching the detector from the reference arm and the sample arm are compensated for the shape of multi-mode fiber. For example, setting the exemplary configuration of the reference mirror 7604 can be that light from the reference and sample arms reaching the detector can be nearly identical if the sample were replaced by a mirror.

FIG. 8 shows an illustration of an exemplary embodiment of the output end of the exemplary waveguide system/apparatus. Element 8101 is a set of one or more fiber optic cables of any shape, which can change dynamically, element 8111 is the core of the multi mode optical fiber, element 8121 is a set of fibers used for shape sensing, element 8131 is the cladding, element 8141 is the jacket, element 8201 is the light output from the multi-mode fiber that eventually travels to the specimen (8701), element 8211 is light from the multi-mode fiber that travels to the mirror (8801), element 8801 acts as the reference mirror, element 8401 is the enclosure for the output end, and element 8301 is a mirror. The mirror 8301 can be conical with a hole in the middle to allow light to travel to the reference mirror 8801. Element 8601 is light directed towards the specimen 8701. Light returning from specimen 8701 and element 8801 are coupled back into the multi-mode fiber. A common path arrangement such as the one presented here has light from both the sample and the reference arms travelling, through the same optical components after getting coupled back into the fiber 8101. This exemplary configuration can provide a preferred signal relative to configurations where the sample and reference arms are separate. Differences in the signal due to differences in the optical properties of components or relative positions of components in the sample and reference arms can be minimized.

FIG. 9(a) shows an illustration of another exemplary embodiment of the output end of the waveguide system/apparatus. Element 910 is a set of one or more fiber optic cables, element 911 is the core of the multi-mode optical fiber, element 912 is a set of fibers used for shape sensing, element 913 is the cladding, element 914 is the jacket, element 920 is the light output from the multi-mode fiber, element 940 is the enclosure for the output end, element 930 is a mirror that directs light into the sample (970), and element 960 is fight focused on to the sample. The angular distribution of light incident on the sample 970 is high, meaning that light is tightly focused. This allows for confocal sectioning. Light returning from the sample is coupled hack into the system. This exemplary system can be used for CM, CLE, SECM, SWLE, SNBI, LM, LA and the like. The focus can be inside the sample, on the surface of sample or outside the sample. The position of the focus can be changed dynamically in any direction.

FIG. 9(b) shows yet another exemplary embodiment of the output end of the waveguide system/apparatus. Element 9101 is a set of one or more fiber optic cables, element 9111 is the core of the multi-mode optical fiber, element 9121 is a set of fibers used for shape sensing, element 9131 is the cladding, element 9141 is the jacket, element 9401 is the enclosure for the output end, element 9301 is a minor, and element 9601 is light focused on to the sample (9701). The angular distribution of light incident on the sample 9701 can be high, e.g., meaning that light can be tightly focused. Element 9801 is a lens that can be used to obtain a tightly focused beam. The focused beam facilitates a confocal sectioning. Light returning from the sample 9701 can be coupled back into the exemplary system. This exemplary system can be used for CM, CLE, SECM, SWLE, SNBI, LM, LA and the like. The focus can be inside the sample, on the surface of sample or outside the sample. The position of the focus can be changed dynamically in any direction.

FIG. 10 (a) shows a block diagram of an exemplary embodiment of the system/apparatus according to the present disclosure. For example, light from a source (1000) can be incident on block 1011, an optical device (OD1) which can include a wavefront modulator (1010) and beam splitter. Light from OD1 couples into a waveguide system (1015) that can include a transmission fiber (1040) that carries light to and from OD1 and shape detecting fibers (1030). Light from 1040 can be incident on optical elements (1050) and then on to the sample (1060) and light returning from the sample can be carried via the transmission fiber 1040 to block 1011 and directed on to a detector or a set of detectors (1003) which record the data. As the shape of the waveguide system 1015 changes, the shape detecting fiber 1030 senses these changes and this information is fed into a processing arrangement (1005), which computes the configuration of the wavefront modulator 1010 that compensates for changes to the shape of the waveguide system 1015 and sets the configuration of the wavefront modulator 1010 so as to produce a stable, desired field at the sample 1060. The optical elements 1050 can be chosen so as to focus light and obtain images. When light is tightly focused, we can perform depth sectioning. This exemplary system can be used for CM, CLE, SECM, SWLE, SNBI, LM, LA and the like. The focus can be inside the sample, on the surface of sample or outside the sample. The position of the focus can be changed dynamically in any direction including in a transverse plane, axially or any arbitrary direction.

FIG. 10(b) shows a block diagram of another exemplary embodiment of the system/apparatus according to the present disclosure. For example, light from a source (10001) is incident on an optical device (OD1 10111) consisting of a wavefront modulator (10101) and beam splitter. Light from OD1 couples into a waveguide system (10151) that can include a transmission fiber (1041) that carries light to and from OD1 and shape detecting fibers (1031). Light from the transmission fiber 1041 is incident on optical elements (1051) and then on to the sample (1061) and Eight returning from the sample is carried via the transmission fiber 1041 to OD1 10111 and directed cm to a detector or a set of detectors (10031) which record the data. As the shape of the waveguide system 10151 changes, the shape detecting fibers 1031 sense(s) these changes and this information is fed into a processing arrangement (10051), which computes the configuration of the wavefront modulator 10101 that compensates for changes to the shape of the waveguide system 10151 and sets the configuration of the wavefront modulator 10101 so as to produce a stable, desired field at 1061. The optical elements in the optical elements 1051 can be selected so as to focus light and obtain images. When light is tightly focused, we can perform depth sectioning. The optical elements 1004 receive light from the beam splitter that is directed towards the detector. The optical elements 10041 can include a focusing mechanism such as one or more lenses. Light from the optical elements 10041 is focused on to an aperture (110071). Such an aperture can perform confocal gating and aid in depth sectioning. This exemplary system can be used for CM, CLE, SECM, SWLE, SNBI, LM, LA and the like. The focus of light at the sample end can be inside the sample, on the surface of sample or outside the sample. The position of the focus can be changed dynamically in any direction including in a transverse plane, axially or any arbitrary direction.

FIG. 11 shows an illustration of an exemplary embodiment of the output end of the exemplary waveguide system/apparatus. Element 1110 is a set of one or more fiber optic cables, element 1111 is the core of the multi-mode optical fiber, element 1112 is a set of fibers used for shape sensing, element 1113 is the cladding 1114 is the jacket, element 1140 is the enclosure for the output end, element 1150 is a lens that directs light into the sample (1170), and element 1160 is light focused on to the sample. Light returning from the sample is coupled back into the exemplary system. Light can be focused using the lens. This exemplary system can be used for CM, CLE, SECM, SWLE, SNBI, LM, LA and the like. In this exemplary embodiment, light can be directed in the axial direction more easily. The focus can be inside the sample, on the surface of sample or outside the sample. The position of the focus can be changed dynamically in any direction. The position of the focus can be changed rapidly without moving parts. The output end of the probe can be made small. These and other advantages, make the exemplary embodiment described herein useful for endoscopy, SWLE, SNBI or any related technique or techniques. It may be possible to obtain information previously unattainable or obtain better data than from other art. It may be possible to reach place previously obscured or obtain data faster, easier or with higher fidelity. Artifacts due to motion can be reduced.

FIG. 12 shows an illustration of still another exemplary embodiment of the output end of the exemplary waveguide system. Element 1210 is a set of one or more fiber optic cables, element 1211 is the core of the multi-mode optical fiber, element 1212 is a set of fibers used for shape sensing, element 1213 is the cladding, element 1214 is the jacket, element 1240 is the enclosure for the output end, and element 1220 is light from 1210 this is directed towards the sample (1270). Light returning from the sample is coupled back into the system. This exemplary can also be used for CM, CLE, SECM, SWLE, SNBI, LM, LA and the like. In this exemplary embodiment, light can be directed in the axial direction more easily. The exemplary properties of output light could be chosen as desired. In one exemplary embodiment, light could be focused. The focus can be inside the sample, on the surface of sample or outside the sample. The position of the focus can be changed dynamically in any direction. The position of the focus can be changed rapidly without moving parts. The output end of the probe can be made small. These and other advantages make the embodiment presented here very useful for endoscopy, SWLE, SNBI or any related technique or techniques. It is possible to obtain information previously unattainable or obtain improved data than from conventional systems. It is possible to reach place in or on the sample previously obscured or obtain data faster, easier or with higher fidelity. Artifacts due to motion can be reduced.

The foregoing merely illustrates the principles of the disclosure, Various modifications and alterations to the described embodiments will be apparent to those skilled in the art in view of the teachings herein. Indeed, the arrangements, systems and methods according to the exemplary embodiments of the present disclosure can be used with and/or implement any OCT system, OFDI system, SD-OCT system or other imaging systems, and for example with those described in International Patent Application PCT/US2004/029148, filed Sep. 8, 2004 which published as International Patent Publication No. WO 2005/047813 on May 26, 2005, U.S. patent application Ser. No. 11/266,779, filed Nov. 2, 2005 which published as U.S. Patent Publication No. 2006/0093276 on May 4, 2006, and U.S. patent application Ser. No. 10/501,276, filed Jul. 9, 2004 which published as U.S. Patent Publication No. 2005/0018201 on Jan. 27, 2005, and U.S. Patent Publication No. 2002/01222,46, published on May 9, 2002, the disclosures of which are incorporated by reference herein in their entireties. It will thus be appreciated that those skilled, in the art will be able to devise numerous systems, arrangements, and procedures which, although not explicitly shown or described herein, embody the principles of the disclosure and can be thus within the spirit and scope of the disclosure. In addition, all publications and references referred to above can be incorporated herein by reference in their entireties. It should be understood that the exemplary procedures described herein can be stored on any computer accessible medium, including a hard drive, RAM, ROM, removable disks, CD-ROM, memory sticks, etc., and executed by a processing arrangement and/or computing arrangement which can be and/or include a hardwares processors, microprocessor, mini, macro, mainframe, etc., including a plurality and/or combination thereof. In addition, certain terms used in the present disclosure. Including the specification, drawings and claims thereof, can be used synonymously in certain instances, including, but not limited to, e.g., data and information. It should be understood that, while these words, and/or other words that can be synonymous to one another, can be used synonymously herein that there can be instances when such words can be intended to not be used synonymously. Further, to the extent that the prior art knowledge has not been explicitly incorporated by reference herein above, it can be explicitly being incorporated herein in its entirely. All publications referenced above can be incorporated herein by reference.

Exemplary publications providing additional disclosure, and incorporated herein in their entireties, are as follows:

-   1. Choi, Youngwoon and Voon, Changhycong and Kim, Moonseok and Yang,     Taeseok Daniel and Fang-Yen. Christopher and Dasari, Ramachandra R     and Lee, Kyoung Jin and Choi, Worishik “Scanner-free and wide-field     endoscopic imaging by using a single multi-mode optical fiber”,     Physical Review Letters, Vol. 9, No.20, Pages 203901, 2012. -   2. Farahi, Salina and Ziegler, David and Papadopoulos, Ioannis N and     Psaltis, Demetri and Moser, Christophe “Dynamic bending compensation     while focusing through a multi-mode fiber”, Optics Express Vol.21,     No.19, Pg. 22504-22514, 2013. -   3. R. D. Leonardo, S. Bianchi, “Hologram transmission through     multi-mode optical fibers”, Optics Express, Vol.19. Issue 1, Pg.     247-254, 2011. -   4. Papadopoulos. Ioannis N and Farahl, Salina and Moser, Christophe     and Psaitis, Demetri “High-resolution, lensless endoscope based on     digital scanning through a multi-mode optical fiber”, Biomendical     Optics Express, Vol. 4, No.2, Pg, 260-270, 2013. -   5. T. Omar and K. Dholakia, “Exploiting multi-mode waveguides for     pure fibre-based imaging”, Nature Comm. Vol.3, Pg. 1027, 2012. -   6. D. Z. Anderson, M. A. Bolshtyansky, B.Ya Zel'dovich,     “Stabilization of the speckle pattern of a multi-mode fiber     undergoing bending”, Optics Letters Vol.21, No.11, Pg. 785-787,     1996. -   7. Tai, Anthony M and Friesem, A A, “Transmission of two-dimensional     images through a single optical fiber by wavelength-time encoding”,     Optics Letters, Vol.8. No.1 Pg.57-59, 1983. -   8. Friesem, A A and Levy, U, “Parallel image transmission by a     single optical fiber”, Optics Letters, Vol.2, No.5, Pg.133-135,     1978. -   9. Pirodda, Luciano, “Transmission of one-dimensional images through     a single optical fiber by time-integrated holography”, Optics     Express, Vol. 11 No.17, Pg. 1949-1952 2003. -   10. J. P. Moore and M. D. Rogge, “Shape sensing using, multi-core     fiber optic cable and parametric curve solutions”, Optics Express,     Vol. 20, issue 3, Pg. 2967-2973, 2012. -   11. Taki, M and Signorini, A and Oton, C J and Nannipieri, T and Di     Pasquale, F, “Hybrid     Raman/Brillouin-optical-time-domain-analysis-distributed optical     fiber sensors based on cyclic pulse coding”, Optics Letters,     Vol.38,No.20, Pg.4162-4165, 2013. -   12. B. E. A. Saleh, M. C. Teich, “Fundamentals of Photonics”,     Wiley-Interscience, 2013. -   13. D. L. Donoho, “Compressed Sensing”. IEEE Transactions on     Information Theory, Vol. 52, No. 4, Pg. 1289-1306,2006. -   14. I. M. Vellekoop and A. P. Mosk, “Focusing coherent light through     opaque shingly scattering media”, Optics Letters Vol. 32, No. 16,     Pg. 2309-2311, 2007. 

What is claimed is:
 1. An apparatus for providing at least one radiation, comprising: at least one multi-mode waveguide configured to transmit the at least one radiation; a light modulator arrangement; a shape sensing arrangement which is configured to dynamically measure a shape of the at least one multi-mode waveguide; and a processor to: calculate a change in an electromagnetic field associated with the dynamically-measured shape, compute a transfer function of the at least one multi-mode waveguide based on calculating the change in the electromagnetic field, and control the light modulator arrangement based on the transfer function to cause the at least one radiation transmitted through the at least one multi-mode waveguide to have at least one pattern.
 2. The apparatus according to claim 1, wherein the at least one radiation is an electromagnetic radiation.
 3. The apparatus according to claim 1, wherein the at least one multi-mode waveguide is a multimode fiber.
 4. The apparatus according to claim 1, wherein the light modulator arrangement includes a spatial light modulator.
 5. The apparatus according to claim 4, wherein the spatial light modulator is at least one of (i) a digital light processor, (ii) a digital micro mirror device, (iii) an electrically addressed spatial light modulator, or (iv) an optically-addressed spatial light modulator.
 6. The apparatus according to claim 1, wherein the shape sensing arrangement is a further waveguide which is physically coupled to the at least one multi-mode waveguide.
 7. The apparatus according to claim 6, wherein the further waveguide contains characteristics to facilitate a determination of the dynamically-measured shape.
 8. The apparatus according to claim 1, wherein the shape sensing arrangement includes a plurality of further waveguides which are physically coupled to the at least one multi-mode waveguide.
 9. The apparatus according to claim 8, wherein the further waveguides contain characteristics or structural configurations to facilitate a determination of the dynamically-measured shape.
 10. The apparatus according to claim 9, wherein the further waveguides contain at least one of (i) fiber Bragg gratings, (ii) discrete distributed reflectors, (iii) Rayleigh scattering arrangements, or (iv) Raman scattering arrangements.
 11. The apparatus according to claim 1, wherein the at least one pattern includes at least one of (i) a focused spot, (ii) a plurality of spots, (iii) a random pattern, or (iv) an image.
 12. The apparatus according to claim 1, wherein the computer arrangement is configured to control the light modulator arrangement to scan at least one sample with the at least one pattern of the at least one radiation.
 13. The apparatus according to claim 12, wherein the computer arrangement is further configured to generate at least one of at least one optical coherence tomography image, a confocal image, a multi-photon image, a multi-harmonic image, or a spectroscopic images based on a further radiation detected from the at least one sample, in response to the scan of the at least one sample with the at least one pattern that is predetermined.
 14. The apparatus according to claim 1, further comprising a detector arrangement, wherein the at least one pattern includes a plurality of predetermined patterns to impact at least one sample, wherein a return radiation that is based on the predetermined patterns are detected by the detector arrangement, and wherein the computer arrangement is further configured to reconstruct an image of the at least one sample based on the detected return radiation.
 15. The apparatus according to claim 14, further comprising an aperture that is provided between the light modulator arrangement and the detector arrangement.
 16. The apparatus according to claim 1, further comprising a flexible probe housing which at least partially encloses the at least one multi-mode waveguide and the shape sensing arrangement.
 17. The apparatus according to claim 16, further comprising a conical mirror provided in the flexible probe housing, and position and structured to reflect the at least one radiation received from the at least one multi-mode waveguide.
 18. The apparatus according to claim 1, wherein the at least one pattern is at least one predetermined pattern.
 19. The apparatus according to claim 18, wherein the at least one predetermined pattern is determined iteratively based on prior measurements.
 20. The apparatus according to claim 1, wherein the at least one pattern is determined by providing the at least one radiation through a scattering medium.
 21. The apparatus of claim 1, wherein the pattern comprises a focused spot, and wherein the focused spot is scanned across at least one sample by using the light modulator to dynamically change an amplitude and a phase of the at least one radiation based on the dynamically-measured shape of the at least one multi-mode waveguide.
 22. A process for providing at least one radiation, comprising: with at least one multi-mode waveguide, transmitting the at least one radiation; dynamically measuring a shape of the at least one multi-mode waveguide; calculating, using a processor, a change in an electromagnetic field associated with the dynamically-measured shape of the at least one multi-mode waveguide, computing, using the processor, a transfer function of the at least one multi-mode waveguide based on calculating the change in the electromagnetic field; and controlling, using the processor, a light modulator arrangement based on the transfer function to cause the at least one radiation transmitted through the at least one multi-mode waveguide to have at least one pattern. 